Least Common Multiple of 3737 and 3744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3737 and 3744 the smallest integer that is 13991328 that is divisible by both numbers.

Least Common Multiple (LCM) of 3737 and 3744 is 13991328.

LCM(3737,3744) = 13991328

LCM of 3737 and 3744

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3737 and 3744

LCM of 3737 and 3744 is 13991328

Least common multiple can be found by multiplying the highest exponent prime factors of 3737 and 3744. First we will calculate the prime factors of 3737 and 3744.

Prime Factorization of 3737


37 3737
101 101
1

Prime factors of 3737 are 37,101. Prime factorization of 3737 in exponential form is:

3737 = 371×1011

Prime Factorization of 3744


2 3744
2 1872
2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 3744 are 2, 3,13. Prime factorization of 3744 in exponential form is:

3744 = 25×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3737 and 3744.

LCM(3737,3744) = 25×32×131×371×1011
LCM(3737,3744) = 13991328

Factors of 3737

List of positive integer factors of 3737 that divides 3737 without a remainder.

1, 37, 101, 3737

Factors of 3744

List of positive integer factors of 3744 that divides 3744 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744

Least Common Multiple of 3737 and 3744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3737 and 3744, than apply into the LCM equation.

GCF(3737,3744) = 1
LCM(3737,3744) = ( 3737 × 3744) / 1
LCM(3737,3744) = 13991328 / 1
LCM(3737,3744) = 13991328

Properties of LCM 3737 and 3744

(i) The LCM of 3744 and 3737 is associative

LCM of 3737 and 3744 = LCM of 3744 and 3737

Related Least Common Multiples of 3737

Related Least Common Multiples of 3744

Frequently Asked Questions on LCM of 3737 and 3744

1. What is the LCM of 3737 and 3744?

Answer: LCM of 3737 and 3744 is 13991328.

2. What are the Factors of 3737?

Answer: Factors of 3737 are 1, 37, 101, 3737. There are 4 integers that are factors of 3737. The greatest factor of 3737 is 3737.

3. What are the Factors of 3744?

Answer: Factors of 3744 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744. There are 36 integers that are factors of 3744. The greatest factor of 3744 is 3744.

4. How to Find the LCM of 3737 and 3744?

Answer:

Least Common Multiple of 3737 and 3744 = 13991328

Step 1: Find the prime factorization of 3737

3737 = 37 x 101

Step 2: Find the prime factorization of 3744

3744 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 13991328 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 37 x 101

Step 4: Therefore, the least common multiple of 3737 and 3744 is 13991328.